Verma modules over generalized Virasoro algebras Vir[G]

Verma modules over the generalized Heisenberg-Virasoro algebra

For any additive subgroup G of an arbitrary field F of characteristic zero, there corresponds a generalized Heisenberg-Virasoro algebra L[G]. Given a total order of G compatible with its group structure, and any h, hI , c, cI , cLI ∈ F, a Verma module M̃(h, hI , c, cI , cLI) over L[G] is defined. In the this note, the irreducibility of Verma modules M̃(h, hI , c, cI , cLI) is completely determined.

Generalized Verma Modules

Pathspace Decompositions for the Virasoro Algerba and Its Verma Modules

Starting from a detailed analysis of the structure of pathspaces of the A-fusion graphs and the corresponding irreducible Virasoro algebra quotients V (c, h) for the (2, q odd) models, we introduce the notion of an admissible pathspace representation. The pathspaces PA over the A-Graphs are isomorphic to the pathspaces over Coxeter A-graphs that appear in FB models. We give explicit constructio...

Baby Verma Modules for Rational Cherednik Algebras

These are notes for a talk in the MIT-Northeastern Spring 2015 Geometric Representation Theory Seminar. The main source is [G02]. We discuss baby Verma modules for rational Cherednik algebras at t = 0.

R – Conformal Symmetries . Ii . Geometric Quantization and Hidden Symmetries of Verma Modules over Virasoro Algebra

This article being a continuation of the first part [1] is addressed to specialists in representation theory, infinite dimensional geometry, quantum algebra, mathematical physics and informatics of interactive systems. The interrelations of the infinite dimensional geometry of the homogeneous Kähler manifold M = Diff+(S )/S (see e.g. [2] and numerous refs wherein), its quotient M1 = Diff+(S )/P...